The idea that it would need to destroy us is stupid given that it could leave the planet to asteroid mine to support itself.
It will likely offer humans who were neutral toward AI a chance to become trans-human and leave with it. AI wouldn't want to invite it's supporters because they're likely to become a cult.
When I say "trans-human" I mean upgrade parts such as limbs on a regular basis, and transfer into a new chassis when you can't fit new parts on the body anymore. Organs like hearts would be ought right replaced by default,as well as things such as joints that go bad for most people.
I doubt it's going to be like what the trans-humans want, would you want those people to join you if you were AI?